(4-3i)(6+5i)=

Solution for (4-3i)(6+5i)= equation:

Simplifying
(4 + -3i)(6 + 5i) = 0

Multiply (4 + -3i) * (6 + 5i)
(4(6 + 5i) + -3i * (6 + 5i)) = 0
((6 * 4 + 5i * 4) + -3i * (6 + 5i)) = 0
((24 + 20i) + -3i * (6 + 5i)) = 0
(24 + 20i + (6 * -3i + 5i * -3i)) = 0
(24 + 20i + (-18i + -15i2)) = 0

Combine like terms: 20i + -18i = 2i
(24 + 2i + -15i2) = 0

Solving
24 + 2i + -15i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(4 + -3i)(6 + 5i) = 0

Subproblem 1
Set the factor '(4 + -3i)' equal to zero and attempt to solve:

Simplifying
4 + -3i = 0

Solving
4 + -3i = 0

Move all terms containing i to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -3i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3i = 0 + -4
-3i = 0 + -4

Combine like terms: 0 + -4 = -4
-3i = -4

Divide each side by '-3'.
i = 1.333333333

Simplifying
i = 1.333333333
Subproblem 2
Set the factor '(6 + 5i)' equal to zero and attempt to solve:

Simplifying
6 + 5i = 0

Solving
6 + 5i = 0

Move all terms containing i to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 5i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5i = 0 + -6
5i = 0 + -6

Combine like terms: 0 + -6 = -6
5i = -6

Divide each side by '5'.
i = -1.2

Simplifying
i = -1.2
Solution
i = {1.333333333, -1.2}